Question

write commutative, associative and distributive properties for rational numbers, explain with example​

Answer 1

commutative property

a + b = b + a ( where a and b are rational no.)

it follows in addition subtraction multiplication and division

Associative property

a + ( b + c) = (a + b) + c

it also follows in all mathematical operations

Distributive property

a (b+ c)= ab + ac

it also follows in all mathematical operations

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Answer 2

Answer:

• Commutative laws say we can swap numbers, and you still get the same number when you add, for example, a+b = b+a and same for multiplication.

• Associative laws say it does not matter how we group the number final value will remain the same, for example, (a+b)+c = (a+b)+c , and same for multiplication.

• Distributive laws say that we can have the same answer while multiplying a number by a group of numbers added together or multiplying them separately and then add them, For example, a x ( b+c) = axb + axc